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Finding the Third Proportional to 140,561.50 and 200,328.50

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Solution

The third proportional to 140,561.50 and 200,328.50 is: 285,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,561.50 : 200,328.50 = 200,328.50 : x
  2. Step 2: Convert to fraction form
    140,561.50/200,328.50 = 200,328.50/x
  3. Step 3: Cross multiply
    140,561.50x = 200,328.50 × 200,328.50
  4. Step 4: Simplify right side
    140,561.50x = 40,131,507,912.25
  5. Step 5: Solve for x
    x = 40,131,507,912.25/140,561.50
  6. Step 6: Final answer
    x = 285,508.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.